Scala analysis: 697_S6

  0:          1/1               0.000000 unison, perfect prime
  1:         74.707 cents      74.706750
  2:        149.414 cents     149.413500
  3:          4/3             498.044999 perfect fourth

  0:        348.6315 cents    348.6315
  1:         74.7068 cents     74.7068
  2:         74.7068 cents     74.7068
  3:        348.6315 cents    348.6315

Interval class, Number of incidences, Size:
  1:   2 74.70675 cents
  1:   1 348.63150 cents
  2:   1 149.41350 cents
  2:   2 423.33825 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

        1     2     3    
 0.0  : 74.7  149.4 498.0
 74.7 : 74.7  423.3 498.0
 149.4: 348.6 423.3 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  74.7068   .. 348.6315 cents      273.92475 cents                    74.70675 cents
  2:  149.4135  .. 423.3382 cents      273.92475 cents                   -199.21800 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 74.70675 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 348.63150 cents
Average / Smallest step             : 2.222222
Largest / Average step              : 2.100000
Largest / Smallest step             : 4.666667
Median interval of one step         : 74.70675 cents, amount: 2
Most common interval of one step    : 74.70675 cents, amount: 2
Least squares average step          : 133.40491 cents, oct.:  400.21473 cents
Scale is not proper
Scale has Myhill's property
  chromas: 273.92475 cents and 199.21800 cents, ratio: 1.375000
  generators: 1 of 74.70675 cents and 423.33825 cents
ET pair of linear temperament       : 26&40
Scale is distributional even
Scale is a mode of a 20-tone equal temperament with octave  4/3
  degrees: 3 6 20
  generators: 3 and 17
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 0 2 0 0 1 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 74.70675 cents
Scale diversity                     : 0.796830
Lumma stability                     : 0.300000
Lumma impropriety factor            : 0.400000
Rothenberg efficiency               : 0.888889   redundancy: 0.111111
Efficiency x scale size             : 2.666667
Number of different interval sizes  : 4 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 74.70675 cents
Most common intervals               : 74.70675 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 2
Inversional symmetry on degrees     :
 1
Inversional symmetry on intervals   :
 2-3
-- Rational properties --
Prime limit                         : 3 (not all pitches rational)

  3:  0 1 2   N G T3   SD: 44.1841 c. M: 74.7068 c. 
  4:  0 1 3   N G T3   SD: 45.4651 c. M: 74.7068 c. 
  6:  1 1 4   N M DE S SD: 10.7162 c. M:-16.6015 c. 
  7:  1 1 5   N M DE S SD: 4.5927 c. M: 7.1149 c. 
 13:  2 2 9   N M DE S SD: 2.4730 c. M:-3.8311 c. 
 20:  3 3 14   N M DE S SD: 0.0000 c. M: 0.0000 c. 

 1 x x 2  S SD: 701.9550 cents
 2 x x 3  S SD: 203.9100 cents
 3 x x 4  S SD: 0.0000 cents
 4 x x 5  S SD: 111.7313 cents
 5 x 6:7  S SD: 93.2287 cents
 6 x 7:8  S SD: 58.7287 cents
 7 x 8:9  S SD: 51.5967 cents
 8 x 9:11    SD: 38.1047 cents
 9 x 10:12  S SD: 16.4951 cents
 10 x 11:13    SD: 23.2607 cents
 11 x 12:15  S SD: 19.4625 cents
 12 x 13:16    SD: 5.4204 cents
 13 x 14:17    SD: 19.8493 cents
 14 x 15:19    SD: 21.4312 cents
 15:16 x 20  S SD: 18.5123 cents
 16:17 x 21    SD: 20.3612 cents
 17:18:19:23    SD: 18.5237 cents
 18:19:20:24  S SD: 12.6729 cents
 19:20:21:25    SD: 11.9883 cents
 20:21:22:27    SD: 9.4331 cents
 21:22:23:28    SD: 3.3213 cents
 45:47:49:60    SD: 0.6891 cents
 111:116:121:148    SD: 0.5244 cents
 156:163:170:208    SD: 0.4764 cents
 276:288:301:368    SD: 0.4142 cents
 321:335:350:428    SD: 0.2882 cents
 366:382:399:488    SD: 0.2111 cents
 387:404:422:516    SD: 0.1847 cents
 411:429:448:548    SD: 0.1772 cents
 432:451:471:576    SD: 0.0976 cents
 477:498:520:636    SD: 0.0399 cents